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Francesco Maggi
Università degli Studi di Firenze
Sharp stability estimates for the Plateau problem
March 30, 2012
3-4 PM, 646 PGH
Abstract
The validity of global quadratic stability inequalities for uniquely regular area minimizing hypersurfaces is proved to be equivalent to the uniform positivity of the second variation of the area. Concerning singular area minimizing hypersurfaces, by a “quantitative calibration” argument we prove quadratic stability inequalities with explicit constants for all the Lawson’s cones, excluding six exceptional cases. As a by-product of these results, explicit lower bounds for the first eigenvalues of the second variation of the area on these cones are derived.
David H. Wagner University of Houston
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Last modified: September 26 2017 - 05:42:22